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13587298740738 = 2342896072
BaseRepresentation
bin1100010110111000101000…
…0111010110101000000010
31210002221012012200202120000
43011232022013112220002
53240103241434200423
644521530250500430
72601435633465132
oct305561207265002
953087165622500
1013587298740738
114369382a12208
121635386a34716
1377737a0c07a8
1434d8b34a6ac2
15188684413843
hexc5b8a1d6a02

13587298740738 has 30 divisors (see below), whose sum is σ = 30445718972691. Its totient is φ = 4529083941468.

The previous prime is 13587298740737. The next prime is 13587298740739. The reversal of 13587298740738 is 83704789278531.

13587298740738 is a `hidden beast` number, since 1 + 3 + 587 + 2 + 9 + 8 + 7 + 4 + 0 + 7 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (13587298740737) and next prime (13587298740739).

It can be written as a sum of positive squares in only one way, i.e., 6793649370369 + 6793649370369 = 2606463^2 + 2606463^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2606463.

It is a super-2 number, since 2×135872987407382 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13587298740737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 46771531 + ... + 47061137.

Almost surely, 213587298740738 is an apocalyptic number.

13587298740738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13587298740738 is an abundant number, since it is smaller than the sum of its proper divisors (16858420231953).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13587298740738 is an frugal number, since it uses more digits than its factorization.

13587298740738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579228 (or 289612 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

Multiplying 13587298740738 by its sum of digits (72), we get a square (978285509333136 = 312775562).

The spelling of 13587298740738 in words is "thirteen trillion, five hundred eighty-seven billion, two hundred ninety-eight million, seven hundred forty thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 289607 579214 868821 1737642 2606463 5212926 7819389 15638778 23458167 46916334 83872214449 167744428898 251616643347 503233286694 754849930041 1509699860082 2264549790123 4529099580246 6793649370369 13587298740738